Pith Number

pith:DG3R3QHC

pith:2014:DG3R3QHCG77T3YFOC3IUQWCZDE

not attested not anchored not stored refs pending

The horofunction boundary of the lamplighter group $L_2$ with the Diestel-Leader metric

Gregory A. Kelsey, Keith Jones

arxiv:1410.8836 v2 · 2014-10-31 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DG3R3QHCG77T3YFOC3IUQWCZDE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:22:41.722499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b71dc0e237ff3de0ae16d1485859191d6b5a40b4076b107c1d791a9298166f

Aliases

arxiv: 1410.8836 · arxiv_version: 1410.8836v2 · doi: 10.48550/arxiv.1410.8836 · pith_short_12: DG3R3QHCG77T · pith_short_16: DG3R3QHCG77T3YFO · pith_short_8: DG3R3QHC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DG3R3QHCG77T3YFOC3IUQWCZDE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 19b71dc0e237ff3de0ae16d1485859191d6b5a40b4076b107c1d791a9298166f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2215eb61485a8e70575572e419868353b5b1de67eb2e355dcd90adb7216751cc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-31T18:23:04Z",
    "title_canon_sha256": "ce961f36435e937b1f376ee5960f1d1976d434206c9a837a43fba21ccb0e8190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8836",
    "kind": "arxiv",
    "version": 2
  }
}